# Capacitor Impedance Calculator

Table of Contents

The impedance \( Z_C \) of a capacitor of capacitance \( C \), in complex form, is given by
\( Z_C = -j \; X_C \)

where \( j \) is the imaginary unit and \( X_C = \dfrac{1}{ \omega C } \) is the capacitive reactance in Ohms \( ( \Omega ) \)

In polar form , \( Z_C \) is writtean as

\( Z_C = X_C \; \angle \; - 90^{\circ} \) or \( Z_C = X_C \; \angle \; - \dfrac{\pi}{2} \)

\( \omega = 2 \pi f \) is the angular frequency in radians per second (rad/s) and \( f \) is the frequency in Hertz (Hz).

This calculator calculates angular frequency \( \omega \), the capacitive reactance \( X_C \) and the impedance \( Z_C \) in complex standard and polar forms.

## Use of the calculator

Enter the capacitance \( C \) and the frequency \( f \) and press "Calculate".
## Results

in complex form

in polar form with phase in degrees

in polar form with phase in radians

### More References and links

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